Ice island thinning: rates and model calibration with in situ observations from Baffin Bay, Nunavut - The Cryosphere

Page created by Jaime Daniel
 
CONTINUE READING
Ice island thinning: rates and model calibration with in situ observations from Baffin Bay, Nunavut - The Cryosphere
The Cryosphere, 14, 1067–1081, 2020
https://doi.org/10.5194/tc-14-1067-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Ice island thinning: rates and model calibration with in situ
observations from Baffin Bay, Nunavut
Anna J. Crawford1,2 , Derek Mueller1 , Gregory Crocker1 , Laurent Mingo3 , Luc Desjardins1 , Dany Dumont4 , and
Marcel Babin5
1 Department    of Geography and Environmental Studies, Carleton University, Ottawa, Ontario, K1S 5B6, Canada
2 School   of Geography and Sustainable Development, University of St Andrews, St Andrews, KY16 9AJ, UK
3 Blue System Integration Ltd., Vancouver, British Columbia, V5W 3H4, Canada
4 Institut des sciences de la mer de Rimouski, Université du Québec à Rimouski, Rimouski, Quebec, G5L 3A1, Canada
5 Département de biologie, Université Laval, Québec, Quebec, G1V 0A6, Canada

Correspondence: Anna J. Crawford (ajc44@st-andrews.ac.uk)

Received: 28 May 2019 – Discussion started: 8 July 2019
Revised: 6 January 2020 – Accepted: 7 February 2020 – Published: 24 March 2020

Abstract. A 130 km2 tabular iceberg calved from Petermann           to ice island morphology, and adequately developing models
Glacier in northwestern Greenland on 5 August 2012. Sub-            for operational and research purposes.
sequent fracturing generated many individual large “ice is-
lands”, including Petermann ice island (PII)-A-1-f, which
drifted between Nares Strait and the North Atlantic. Thin-
ning caused by basal and surface ablation increases the like-       1   Introduction
lihood that these ice islands will fracture and disperse further,
thereby increasing the risk to marine transport and infrastruc-     A nascent “ice island” is currently being monitored as
ture as well as affecting the distribution of freshwater from       transverse rifts propagate and widen across the floating
the polar ice sheets. We use a unique stationary and mobile         ice tongue of Petermann Glacier, northwestern Greenland
ice-penetrating radar dataset collected over four campaigns         (USGS, 2019). Ice shelves and ice tongues in this region
to PII-A-1-f to quantify and contextualize ice island surface       episodically calve these large, tabular icebergs, which are
and basal ablation rates and calibrate a forced convection          morphologically similar to those common in the Antarctic al-
basal ablation model. The ice island thinned by 4.7 m over          though thinner and less extensive (Higgins, 1989). Through
11 months. The majority of thinning (73 %) resulted from            their drift and deterioration, these ice islands disperse fresh-
basal ablation, but the volume loss associated with basal ab-       water between Nares Strait and the North Atlantic (Crawford
lation was ∼ 12 times less than that caused by areal reduc-         et al., 2018b). Their journey to southern latitudes can be dis-
tion (e.g. wave erosion, calving, and fracture). However, lo-       rupted due to grounding on the continental shelf of Baffin Is-
calized thinning may have influenced a large fracture event         land (Crawford et al., 2018a). Such groundings can disrupt
that occurred along a section of ice that was ∼ 40 m thinner        benthic ecosystems (Dowdeswell and Bamber, 2007), put
than the remainder of the ice island. The calibration of the        seafloor infrastructure at risk (Fuglem and Jordaan, 2017),
basal ablation model, the first known to be conducted with          extend and stabilize landfast ice cover offshore (Fraser et al.,
field data, supports assigning the theoretically derived value      2012; Massom et al., 2001), and impact the biological and
of 1.2×10−5 m2/5 s−1/5 ◦ C−1 to the model’s bulk heat trans-        physical composition of ocean waters in their vicinity due to
fer coefficient with the use of an empirically estimated ice–       meltwater input and latent heat uptake resulting from their
ocean interface temperature. Overall, this work highlights the      deterioration (Jansen et al., 2007; Stern et al., 2015).
value of systematically collecting ice island field data for an-       Ice island thinning has previously been estimated via
alyzing deterioration processes, assessing their connections        freeboard monitoring with satellite-borne altimetry data
                                                                    (Bouhier et al., 2018; Jansen et al., 2007). Without field ob-

Published by Copernicus Publications on behalf of the European Geosciences Union.
Ice island thinning: rates and model calibration with in situ observations from Baffin Bay, Nunavut - The Cryosphere
1068                                                                                  A. J. Crawford et al.: Ice island thinning

servations, the individual contribution of surface versus basal
ablation to that thinning can then only be derived through
modelling (Ballicater Consulting, 2012; Jansen et al., 2007),
often with a relatively simple fluid-dynamics approach being
used to model basal ablation in iceberg and ice island stud-
ies (Ballicater Consulting, 2012; Merino et al., 2016; Wagner
and Eisenman, 2017). This forced convection model is based
on the transfer of heat across a flat plate due to the turbulent
flow of the underlying water. A bulk heat transfer coefficient
is used to estimate an ablation rate based on the differential
velocity between the ice island and the ocean current as well
as the water temperature across the length of the ice island
(Ballicater Consulting, 2012; Bouhier et al., 2018; Weeks
and Campbell, 1973). Previous efforts to calibrate basal ab-
lation models have relied upon remotely sensed datasets as
well as potentially inaccurate modelled environmental data
(Bouhier et al., 2018; Jansen et al., 2007). This is largely due
to the challenges associated with collecting field data for de-
termining the individual rates of surface and basal ablation.
   We overcame these challenges to collect a unique dataset
from Petermann ice island (PII)-A-1-f between November
2015 and September 2016. PII-A-1-f was grounded on the
continental shelf of Baffin Island and had a surface areal ex-
tent of 13 km2 when it was first visited. The fieldwork in-
cluded repeat mobile ice-penetrating radar (mIPR) transects
and the collection of a long-term in situ dataset of ice island    Figure 1. Remote monitoring of PII-A-1-f and data collection lo-
                                                                   cations. (a) Dates and locations of PII-A-1-f as observed with
thinning by a stationary IPR (sIPR). These were the first such
                                                                   RADARSAT-2 synthetic aperture radar (SAR) observations while
field data to be collected from an ice island or iceberg in ei-
                                                                   the ice island drifted from the Petermann Glacier (PG) and through
ther the Arctic or Antarctic. The measurements are used to         Nares Strait (NS), Kane Basin (KB), and Baffin Bay (BB) be-
calibrate the forced convection basal ablation model, which        fore grounding north of the Cumberland Peninsula (CP). The poly-
had previously not been validated or calibrated with direct        gon in the top inset shows the location of the larger-scale map.
field observations. In addition, the IPR data were used to as-     The bottom inset shows the proximity of the grounding location
sess the spatial and temporal variation in ice island thinning     to the GreenEdge sea ice camp. (b) RADARSAT-2 ScanSAR im-
and ablation rates. Using remotely sensed imagery to monitor       age (100 m nominal resolution) showing the surface feature and
areal reduction, the ablation magnitudes are put into context      sidewall notches. (c–e) RADARSAT-2 Fine Quad SAR (8 m nom-
with respect to other processes (e.g. fracture) that contributed   inal resolution) scenes acquired on 27 June 2016, 27 Septem-
to the deterioration of PII-A-1-f.                                 ber 2016, and 23 September 2017, respectively. CTD (conductiv-
                                                                   ity, temperature, depth) cast locations are denoted by triangles in
                                                                   (c) and (d), and the star in (c) denotes the location of the sta-
                                                                   tionary ice-penetrating radar and weather station; the ∼ 3 km mo-
2   Study site                                                     bile IPR transect conducted in May 2016 is shown as a black
                                                                   line. All RADARSAT-2 images are presented as colour composites
PII-A-1-f was a fragment of the 130 km2 PII that calved from       (ScanSAR polarizations: red is HH and blue and green is HV; Fine
Petermann Glacier in northwestern Greenland on 5 August            Quad polarizations: red is HH, green is VV, and blue is HV).
2012 (Crawford et al., 2018a). Using tracking data derived
from RADARSAT-2 satellite images in the Canadian Ice Is-
land Drift, Deterioration and Detection (CI2D3) Database           tions showed that a portion of the deterioration that PII-A-1-f
(Crawford et al., 2018a) and by the Canadian Ice Service           experienced after 2013 was caused by sidewall notches that
(CIS; Environment and Climate Change Canada) we were               progressively enlarged on opposing sides of the ice island.
able to trace the origins of PII-A-1-f as the PII broke up and     The notch “roots”, or the tips of these wedge-shaped features,
drifted through Nares Strait and Baffin Bay between August         were located in the vicinity of a linear surface feature that
2012 and November 2014. As this piece drifted south, it fur-       was identified in a ScanSAR acquisition in November 2012
ther fragmented and experienced periods of stagnation while        (Fig. 1b). This deterioration was likely caused by increased
grounded in Kane Basin and northern Baffin Bay (Fig. 1a).          wave-induced turbulent heat flux within these wedge-shaped
The PII-A-1-f fragment entered northern Baffin Bay in late         features as described by White et al. (1980).
2013. Continued monitoring with RADARSAT-2 acquisi-

The Cryosphere, 14, 1067–1081, 2020                                                     www.the-cryosphere.net/14/1067/2020/
Ice island thinning: rates and model calibration with in situ observations from Baffin Bay, Nunavut - The Cryosphere
A. J. Crawford et al.: Ice island thinning                                                                                       1069

   The linear surface feature and one sidewall notch were
still apparent when PII-A-1-f became grounded in Novem-
ber 2014 at 67◦ 230 N, 63◦ 180 W, approximately 10 km from
the eastern coast of Baffin Island and 35 km southeast from
the Hamlet of Qikiqtarjuaq, Nunavut (Fig. 1a). Ice island
groundings are especially common in the region immediately
north of the Cumberland Peninsula due to the presence of
many underwater shoals and ridges. PII-A-1-f was visited at
this location by three field teams, with transportation pro-
vided by the CCGS Amundsen icebreaker and its helicopter
during the annual ArcticNet science cruises in October 2015,
July 2016, and September 2016. An additional field cam-
paign was completed in May 2016, when a field team ac-
cessed the ice island, then surrounded by sea ice, by a snow-
mobile from Qikiqtarjuaq, Nunavut.

3     Methods

3.1    Thinning (temporal assessment)

To ascertain the magnitudes and rates of surface and basal
ablation, a series of ablation stakes, a 40 MHz sIPR, and a
small meteorological station with a sonic ranger and cam-          Figure 2. Instruments installed on PII-A-1-f on 20 October 2015.
                                                                   (a) Stationary ice-penetrating radar (sIPR) components deployed
era were installed on PII-A-1-f on 20 October 2015 (Fig. 2).
                                                                   with antennas “in line” and attached to eight sleeves that slid over
The ice island position was recorded hourly with a Garmin          stake anchors. (b) Automatic weather station components, includ-
6X-HVS GPS (Garmin International, Inc.), and air temper-           ing a camera that acquired a weekly image of the sIPR and ablation
ature (Ta ) was measured with a 109 thermistor (Campbell           stakes (not shown). The two systems were installed 30 m apart on
Scientific Canada Corporation – CSCC) in a radiation shield        two small ridges at the location denoted in Fig. 1c. PV is photo-
at 1 min intervals and logged as hourly averages. All meteo-       voltaic panel; SR is sonic ranger.
rological station data were recorded on a CR1000 data log-
ger (CSCC) and telemetered with an Iridium L-Band modem
(9522B; CSCC).                                                     at these stakes was calculated with ImageJ (v. 10.8.0) soft-
   Ice thickness was recorded and telemetered daily by the         ware using the markings for scale (Abramoff et al., 2004).
sIPR (Blue System Integration, Ltd.) until 27 September            Increases in surface height due to the accumulation of snow
2016. Full details regarding this system set-up and mea-           are presented in this study as negative values. A linear inter-
surement specifications can be found in S1 and Mingo et            polation was applied to estimate daily ablation or accumu-
al. (2020). The ice thickness was measured at a resolution         lation between these observations so that the sIPR, SR50A,
of 0.67 m, so the observations were linearly interpolated be-      and ablation stake data were available over a consistent time
tween dates when step changes in thickness were recorded           span. Basal ablation was calculated by subtracting the in-
(16 November 2015–18 September 2016). These dates were             terpolated ablation magnitudes derived from the stake data
used to establish “calibration intervals” for the calibration of   from the ice thickness time series. These values are therefore
the forced convection basal ablation described in the follow-      approximations of daily basal ablation rates, as they were
ing section.                                                       based on values of ice thickness that were linearly interpo-
   Daily mean surface ablation was calculated from hourly          lated across longer time periods. Finally, the ablation stake
SR50A sonic ranger (CSCC) height-above-surface (snow               data were used instead of the SR50A data because an unreal-
or ice) measurements. Surface ablation was also calculated         istic basal ablation time series was derived from the SR50A
from five ablation stakes that were marked with tape every         data. This was likely caused by a difference in surface con-
10 cm and placed between the meteorological station and the        ditions between the sIPR and SR50A. It was not possible to
sIPR. A weekly image acquired with a Campbell Scientific           assess the surface conditions at the SR50A (30 m away from
CC5MPX camera that was controlled by the meteorologi-              the sIPR), while the surface conditions were confirmed to be
cal station to visually check on the positioning of the sIPR       similar between the locations of the ablation stakes and the
system also captured these ablation stakes. No snow was            sIPR (10–15 m away) in weekly images.
present on the date when the stakes and instruments were
installed, and the average weekly ablation (or accumulation)

www.the-cryosphere.net/14/1067/2020/                                                      The Cryosphere, 14, 1067–1081, 2020
1070                                                                                 A. J. Crawford et al.: Ice island thinning

3.2     Basal ablation model calibration                           ture and practical salinity were converted to 2 and SA , re-
                                                                   spectively, using the Gibbs SeaWater functions provided in
3.2.1    Oceanographic data collection and comparison              the R “gsw” package (Kelly, 2017).
                                                                      The CMEMS data were compared against the in situ
The derived basal ablation was used to calibrate the forced        oceanographic data to justify its use for calibrating the forced
convection model described in the Introduction. In addition        convection basal ablation model and to identify any bias in
to the general paucity of ice island thinning measurements,        the modelled oceanographic data. Comparisons were con-
there is a dearth of in situ oceanographic data available          ducted between (1) the full CCGS Amundsen CTD profiles
for the validation and calibration of iceberg and ice island       collected at the location of PII-A-1-f and near the GreenEdge
numerical deterioration models. Here, we use two oceano-           sea ice camp location in July and September 2016, (2) the full
graphic field datasets to validate and calibrate a time series     CCGS Amundsen profiles and the CMEMS data profiles, and
of modelled ocean temperature, salinity, and current data that     (3) the CMEMS data time series and the mean SA , 2, and
spans the full duration for which basal ablation rates were        u values of all CTD casts and ADCP measurements that fell
available. Using the oceanographic model data greatly ex-          within the CMEMS depth bin in which the ice island keel was
tended the time span over which the model calibration could        located. Bias in the CMEMS data was identified as consistent
be conducted.                                                      over- or underestimation of the GreenEdge sea ice camp time
   The first oceanographic field dataset was collected by the      series of SA , 2, and u. If bias existed in a given variable, the
CCGS Amundsen during its annual ArcticNet science re-              CMEMS data were corrected by the average daily difference
search cruise. CTD (conductivity, temperature, depth) pro-         between them and the in situ values.
files were conducted around PII-A-1-f on 28 July (four casts)
and 29 September (five casts) 2016 (Amundsen Science Data          3.2.2   Model calibration
Collection, 2016; Fig. 1c, d). CTD profiles were also col-
lected on 29 July 2016 (two casts) and 28 September 2016           The forced convection basal ablation model (Eq. 1) esti-
(one cast) close to the location of a sea ice camp that was sit-   mates an ablation rate (Mb ; m d−1 ) from the velocity dif-
uated 20 km northwest (67◦ 290 N, 63◦ 470 W) of the ground-        ference between the iceberg and the water (1u; m s−1 )
ing location of PII-A-1-f (Fig. 1a, bottom inset). This sea ice    and the driving temperature (1T ) across the length (L;
camp was operated by the GreenEdge project based out of            m) of an ice face using a bulk heat transfer coefficient, C
Université Laval, Québec. The second oceanographic field           (m2/5 s−1/5 ◦ C−1 ; Weeks and Campbell, 1973). The multi-
dataset was composed of 39 CTD profiles (SBE 49 FastCAT            plier in Eq. (1) (86 400 s d−1 ) converts Mb from metres per
CT; Sea-Bird Electronics, Inc.) acquired at the GreenEdge          second into a daily ablation value; it is also common to scale
sea ice camp between 20 April and 22 July 2016. Absolute           C by this factor to produce daily melt estimates directly (e.g.
salinity (SA ; g kg−1 ) and conservative temperature (2; ◦ C)      Bigg et al., 1997). In the calibration, it was assumed that the
measurements were reported at 1 m depth bins for all CTD           ice island was stationary and therefore 1u is simply equiv-
casts. Current speed (u; m s−1 ) was calculated as an average      alent to u. 1T was calculated as the difference between the
of the current vectors measured every 30 s over 2 m depth          ocean temperature at the keel depth and the melting point of
bins and recorded every 30 min at the ice camp with a Tele-        ice (equivalent to the freezing point of the adjacent sea wa-
dyne RDI Workhorse Sentinel 300 kHz acoustic Doppler cur-          ter). The melting point (Mp ; ◦ C) was adjusted to account for
rent profiler (ADCP; Teledyne RD Instruments; Oziel et al.,        the influence of meltwater near the ice–water interface with
2019). A linear interpolation was applied to fill missing val-     an established empirical relationship with the far-field water
ues before daily average u was calculated for the individual       temperature (2) and the freezing temperature of the far-field
depth bins.                                                        ocean water (2f ; ◦ C; Eq. 2; Kubat et al., 2007; Løset, 1993a).
   Data from the Copernicus Marine Environment Monitor-            2f was derived with SA and pressure (p; dbar) as per TEOS-
ing Service (CMEMS) Global Ocean Physical Reanalysis               10 conventions (IOC, SCOR, and IAPSO, 2010):
(GLORYS12V1) product were used for the calibration of                                  1T
the forced convection basal ablation model. This reanaly-          Mb = 86 400C1u0.8        ,                                   (1)
                                                                                       L0.2
sis product, henceforth referred to as the CMEMS data, had         Mp = 2f e−0.19(2−2f ) .                                      (2)
a spatial resolution of 1/12◦ and 50 depth levels. Potential
temperature, practical salinity, and the horizontal current ve-    Values of C were obtained for each calibration interval i (Ci ),
locity components were extracted from the model grid cells         which is associated with a measured change in ice thick-
that corresponded with the locations of PII-A-1-f and the          ness. The individual Ci values were calculated by dividing
GreenEdge sea ice camp at the model depth bin in which             the cumulative basal ablation over the respective calibration
the keel of the ice island was located over the course of sIPR     interval
                                                                   P 0.8by      the corresponding cumulative driving force (i.e.
data collection. Keel depth was calculated using ice thick-           1u L1T  0.2 ). The driving force was derived from CMEMS
ness assuming ice density (ρi ) = 873 kg m−3 (Crawford et          modelled oceanographic data (SA , 2, and u) at the ice is-
al., 2018c) and hydrostatic equilibrium. Potential tempera-        land keel. p was set to the pressure at the keel depth. L was

The Cryosphere, 14, 1067–1081, 2020                                                    www.the-cryosphere.net/14/1067/2020/
A. J. Crawford et al.: Ice island thinning                                                                                   1071

assigned as the median of all distances between the sIPR lo-
cation and all vertices of the outline of the areal surface ex-          s
                                                                                           2
                                                                                                s2
                                                                             
tent of PII-A-1-f that was digitized from RADARSAT-2 Fine                            s     v
Quad (FQ; 8 m nominal resolution) SAR imagery acquired              H=            t+           − ,                             (3)
                                                                                     va    2    4
on 27 July 2016 (S2).
   A second calibration for each interval was conducted             where H is thickness (m), s is the distance between the
with the CMEMS data after corrections were applied based            transmitting and receiving antennas (m), t is the time (s) be-
on the comparisons against the in situ oceanographic data           tween the recording of the air and reflected waves by the re-
(Sect. 3.2.1). A final calibration of C was obtained based on       ceiver, and va is the speed of the electromagnetic wave in
the basal ablation and driving force over the total duration        air (3.0 × 108 m s−1 ) travelling between the transmitter and
over which basal ablation was derived. This final calibration       receiver (Wilson, 2012). The speed of the radar wave in ice
provided a single value of C as opposed to the previous cal-        (v) was set to 1.7 × 108 m s−1 (Macheret et al., 1993). The
ibrations where values of Ci were obtained for each calibra-        ice thickness resolution (±0.5 m) was limited by v and the
tion interval.                                                      waveform sampling interval of the mIPR system (Crawford,
   An analysis was conducted to determine the sensitivity of        2013).
the basal melt magnitude predicted by the forced convec-               Snow was present on the ice surface when the mIPR tran-
tion basal ablation model to variations in u, 2, and C. The         sect was conducted in May 2016. An insufficient number of
two variables and one parameter were individually perturbed         snow depth measurements were recorded to adequately ac-
across eight equally spaced intervals that covered their ob-        count for the snow depth over the transect area, and it was not
served and calculated ranges. The non-perturbed variables           possible to distinguish the snow–ice interface in the radar-
were held constant at their median values. All assigned val-        gram. Thickness (ice + snow) in May was therefore cal-
ues were based on the corrected CMEMS data series. The              culated using a single velocity value, v = 1.7 × 108 m s−1 .
sensitivity of the forced convection basal ablation model was       However, an additional uncertainty was added to the May
assessed as the average percent increase in cumulative basal        ice thickness to account for the possible presence of snow.
ablation predicted for the duration over which basal ablation       This uncertainty was based on the mean snow depth (36 cm)
was derived with each incremental increase in the value as-         recorded at nine locations along the mIPR transect and the
signed to a given variable or parameter. The sensitivity was        amount of time a radar wave would travel through this layer
analyzed over this longer time period due to the certainty in       given that v = 2.0 × 108 m s−1 for snow (Haas and Druck-
the bulk basal ablation derived from total ice thinning and         enmiller, 2009). The errors associated with the resolution of
surface ablation.                                                   the mIPR system and the average snow depth estimate were
                                                                    summed to determine the average amount that the ice thick-
3.3   Thinning (spatial assessment)                                 ness, as measured in May, could be overestimated by (0.8 m).
                                                                    Uncertainty in thickness change calculations was determined
A repeat transect was conducted to assess spatial variation         by propagating the uncertainties in ice thickness resulting
in thickness and thinning and to verify that the sIPR data          from the resolution of the mIPR system and the presence of
were representative with respect to other locations across the      snow.
ice island. An initial thickness profile was collected with a          The magnitude of thinning that occurred between May and
25 MHz mIPR (Blue System Integration Ltd.) that was towed           September 2016 was calculated between the closest pairs of
by snowmobile over an approximately 3 km transect on 8              mIPR traces recorded during each field visit. To improve po-
May 2016. A series of 10 ablation stakes were also installed        sitional accuracy, the locations recorded by the mIPR on-
along the profile route. Thickness data were collected over         board GPS were replaced with those recorded by a HiPer V
2.4 km of the original transect when the same mIPR sys-             dual-frequency GPS (Topcon Corp.) after precise point posi-
tem was towed on foot on 28 September 2016. Eight of the            tioning (PPP) processing (Natural Resources Canada, 2016).
stakes were also remeasured at this time. Further details of        The September transect was adjusted relative to the orienta-
the mIPR system can be found in S1 and Mingo and Flowers            tion of PII-A-1-f in May by matching mIPR traces known
(2010).                                                             to be collected at the same location (i.e. the ablation stakes)
   All mIPR processing was conducted with Radar Tools (re-          on the ice island to correct for a small amount of movement
lease 0.4), a library of Python scripts and tools that was used     by the ice island between the two field visits. Since it was
to standardize, clean, visualize, and process data contained in     not possible to retrace the transect exactly due to changes in
the raw radar data (S1; Wilson, 2013). This program was also        topography between field visits, the thickness measurements
used to select the location of the air and reflected radar waves.   that were compared between May and September were off-
Ice thickness was calculated with Eq. (3) (Wilson, 2012):           set by varying distances (metres to tens of metres). Using
                                                                    Eq. (4), we derived an index of comparability for these mea-
                                                                    surements from the percentage of overlap between the radar
                                                                    footprints at the ice–water interface. The radii (r) of these

www.the-cryosphere.net/14/1067/2020/                                                        The Cryosphere, 14, 1067–1081, 2020
1072                                                                                 A. J. Crawford et al.: Ice island thinning

footprints depend on the centre wavelength of the 25 MHz
antenna (λ = 6.8 m), relative permittivity of ice (K; 3), and
H (Leucci et al., 2003),

      λ    H
r=      +√     .                                           (4)
      4   K +1

The positions of thickness change measurements were cate-
gorized as ≥ 50 % overlap, ≥ 30 % overlap, 0 ◦ C. Ta was >0 ◦ C for 15 % of the
months that sIPR data were collected and by 4.0 ± 1.4 m          second ablation period; however, this contributed to melting
during the 10 months that basal ablation was estimated and       the snow that had accumulated on the ice surface instead of
used for the basal ablation model calibration (Fig. 3a; Ta-      ice ablation (Fig. 3b; Table 1).
ble 1). The latter can be divided into three periods related        The mean daily basal melt rate (Mb ) between November
to surface ablation magnitudes as per the ablation stake data    2015 and September 2016 was almost 3 times greater than
(Fig. 3b; Table 1). These are referred to as “ablation pe-       the mean rate of daily surface ablation (Ms ; cm d−1 ). How-
riods” in the remainder of the text. Minimal surface abla-       ever, this ratio varied between ablation periods. For example,
tion was observed over ablation period 1 (November to mid-       the mean Mb was 7 times greater than the mean Ms during
December 2015). No surface ablation occurred during pe-          ablation period 1, when only 2 cm of surface ablation was
riod 2, which distinguishes it from ablation periods 1 and 3.    observed. In contrast, the mean Ms was approximately 50 %
Therefore, basal ablation was the sole contributor to thinning   greater than the mean Mb over ablation period 3, when over
during ablation period 2, when the mean daily thinning rate      1 m of surface ablation was observed over the 2-month dura-
was 0.9 cm d−1 (mid-December 2015 to mid-July 2016). The         tion (Fig. 3b; Table 1). The mean Mb increased between suc-
thinning rate tripled during ablation period 3, which spanned    cessive ablation periods (Table 1), and the increase in daily

The Cryosphere, 14, 1067–1081, 2020                                                    www.the-cryosphere.net/14/1067/2020/
A. J. Crawford et al.: Ice island thinning                                                                                              1073

Table 1. Ablation and total thinning magnitudes and rates per ablation period. Air temperature (Ta ) data for each period are also included.
Inconsistencies exist between the summed ablation and thinning magnitudes or between the ratios of surface: basal ablation magnitudes
versus rates are due to rounding. Ms and Mb (in italic font) represent daily surface and basal ablation rates, respectively.

   Ablation    Dates                          Surface ablation (cm)    Basal ablation (cm)    Total thinning (cm)      Mean          Days
   period                                         and Ms (cm d−1 )      and Mb (cm d−1 )       and rate (cm d−1 )    Ta (◦ C)    Ta >0 ◦ C
   1           16 Nov 2015–4 Dec 2015                       2 (0.1)               14 (0.7)               16 (0.8)        −13            3
   2           5 Dec 2015–14 Jul 2016                             0              200 (0.9)              200 (0.9)        −15           33
   3           15 Jul 2016–14 Aug 2016                    106 (1.6)               78 (1.2)              184 (2.8)          3           65
   1–3         16 Nov 2015–14 Aug 2016                    108 (0.4)              295 (1.0)              403 (1.3)        −11          101

mean Mb from 0.9 to 1.2 cm d−1 between periods 2 and 3
coincides with an increase in CMEMS temperature and ve-
locity. The mean Mb increased between successive ablation
periods (Table 1), and the increase in daily mean Mb from
0.9 to 1.2 cm d−1 between periods 2 and 3 coincides with an
increase in CMEMS temperature and velocity.

4.2     Basal ablation model calibration

4.2.1    Oceanographic data comparisons

Figure 4 shows the CMEMS 2, SA , and u for the duration
that PII-A-1-f basal ablation was derived. The mean 2 and
SA of measurements from CTD casts acquired in the vicin-
ity of PII-A-1-f or the GreenEdge sea ice camp are plot-
ted alongside the model data in Fig. 4a and b. These data
are associated with the depth interval of the model data that
the keel of the ice island fell within for the duration of the
data collection. The mean u in this depth interval, as mea-
sured by the ADCP moored near to the GreenEdge sea ice
camp location, is included in Fig. 4c. The data collected at            Figure 4. Oceanographic data collected or modelled over the time
the GreenEdge sea ice camp (2 and SA ) and at the nearby                span that PII-A-1-f basal ablation rates were derived. CMEMS
moored ADCP (u) provide the longest in situ time series of              product data for the grid cells in which PII-A-1-f (solid black lines)
oceanographic conditions and were used to assess if these               and the GreenEdge sea ice camp (solid green lines) were located:
variables were consistently over- or underestimated in the              (a) conservative temperature (2), (b) absolute salinity (SA ), and (c)
CMEMS data.                                                             velocity (u). As PII-A-1-f was grounded, u is equivalent to the dif-
   The means of the absolute daily difference between 2 and             ferential velocity between the ice island and the ocean current. Field
SA at the GreenEdge sea ice camp and the CMEMS data were                data collected by the CCGS Amundsen and the GreenEdge project
0.07 ◦ C and 0.67 g kg−1 , respectively. The CMEMS SA was               are shown in the respective panels. The CMEMS data, corrected for
                                                                        bias in SA and u, are shown as dotted lines in (b) and (c), respec-
consistently greater than the in situ data and was therefore
                                                                        tively. The vertical lines denote the calibration intervals, numbered
corrected by subtracting 0.67 g kg−1 (Fig. 4b, dotted lines).
                                                                        in (b), associated with thickness change measurements that were
A bias in 2 was not seen, and no correction was applied;                used for the calibration of the forced convection basal melt model.
however, there was a consistent underestimation of u in the             Generated using EU Copernicus Marine Service information.
CMEMS data (Fig. 4c). The CMEMS data were corrected by
the mean daily difference (0.1 m s−1 ) between the CMEMS
and in situ values of u (Fig. 4c, dotted lines).
   CTD profiles collected in the vicinity of PII-A-1-f and the          tween sites. This supported our use of the SA correction for
GreenEdge sea ice camp on successive days by the CCGS                   the CMEMS data that were derived from the difference be-
Amundsen in July and September 2016 were plotted (not                   tween the CMEMS data and the longer time series collected
shown) to compare the oceanographic conditions at the two               at the GreenEdge sea ice camp. This SA correction was ap-
sites. In the depth interval of interest, the values of 2 and           plied to the CMEMS data associated with the location of PII-
SA were reasonably similar and not consistently different be-           A-1-f, which was used for the model calibration (Fig. 4b).

www.the-cryosphere.net/14/1067/2020/                                                            The Cryosphere, 14, 1067–1081, 2020
1074                                                                                 A. J. Crawford et al.: Ice island thinning

   The full CMEMS 2 and SA profiles were also plotted (not         tions. This is due to the linear relationship between 1T and
shown) against those acquired by the CCGS Amundsen to en-          Mb in Eq. (1) (Table 3).
sure that the CMEMS data were generally representative of             A linear relationship also exists between C and Mb in
the water column. The CMEMS profiles were reasonable in            Eq. (1); however, the range in Ci was more constrained rel-
form, and, in the depth interval of interest, CMEMS consis-        ative to the 1T data series. For this reason, the cumulative
tently overestimated the SA recorded by the CTD casts ac-          predicted basal ablation only increased by 16.5 % with each
quired by the CCGS Amundsen. The average overestimation            incremental change in the value assigned to C during the sen-
was 0.60 g kg−1 . This further supports the decision to apply      sitivity analysis (Table 3). Finally, due to the smaller range
the 0.67 g kg−1 correction to the CMEMS SA for the forced          of u (0.11 to 0.18 m s−1 ) and the non-linear relationship be-
convection basal ablation model calibration. The CMEMS 2           tween u and Mb in Eq. (1), the relative increment adjustment
was both over- and underestimated in the depth interval of         (6.1 %) and corresponding change (4.8 %) to the predicted
interest, which confirms that not applying a correction to this    cumulative basal ablation over the time period that basal ab-
variable was appropriate.                                          lation was derived with observations was less than that asso-
                                                                   ciated with 1T or C.
4.2.2   Model calibration and sensitivity analysis
                                                                   4.3   Thinning (spatial assessment)

Ci values were calculated with the uncorrected and corrected       The data collected at the main site on PII-A-1-f over 11
CMEMS data for each of the six calibration intervals. The          months provide unprecedented information regarding the
range and mean values of Ci calculated with the uncor-             temporal thinning of an ice island. However, these data are
rected CMEMS data were an order of magnitude larger than           representative of a single point on a large ice island. Consid-
those that were theoretically derived by Weeks and Campbell        ering that the rate of surface ablation along the mIPR tran-
(1973; 6.74 × 10−6 m2/5 s−1/5 ◦ C−1 ) and White et al. (1980;      sect would have been near zero until the snow had melted
1.2×10−5 m2/5 s−1/5 ◦ C−1 ). Due to this, plus the poor repre-     around 15 July 2016, as determined from the ablation stakes
sentation of uncorrected CMEMS SA and u, it was decided to         at the sIPR site, the surface would have ablated at a rate of
further analyze the more reasonable Ci values that were cal-       1.5 cm d−1 after this date. This is slightly less than the rate
culated with the corrected CMEMS data. These latter values         at the sIPR site over ablation period 3 (1.6 cm d−1 ; Table 1)
of Ci are included in Table 2 with the corresponding mean          and increases the confidence that the surface ablation condi-
1T and u values found with the CMEMS data.                         tions at the sIPR site were similar to those across the mIPR
   Using these data, the mean Ci value was 1.7 × 10−5              transect.
m2/5 s−1/5 ◦ C−1 , and values for the individual calibration in-      The ice island thickness over the mIPR transect ranged
tervals ranged from 7.8×10−6 to 2.1×10−5 m2/5 s−1/5 ◦ C−1 .        from 80.7 to 127.1 [−0.5, +0.8] m in May and 77.3 to
The greatest values of Ci were associated with calibration         123.7 ± 0.5 m in September 2016 (Fig. 5a). A 50 m long sec-
intervals 3 through 6. Cumulative basal ablation was over-         tion of relatively thin ice that was approximately 80 m thick
predicted by 38 % when the forced convection basal ablation        was recorded along transect segment AB during both field
model was run with the mean Ci value over the 308 d that           visits (Fig. 5a); this section was approximately 40 m thinner
basal ablation was calculated. Finally, when calculated with       than adjacent areas. The air and basal wave locations in the
the total basal ablation and total driving force between 15        mIPR data could not be definitively selected when this thin
November 2015 and 18 September 2016, C was calibrated to           section was passed during transect segment CD (Fig. 5a).
1.2 × 10−5 m2/5 s−1/5 ◦ C−1 .                                      This made it impossible to ascertain thickness at this loca-
   Values of u, 2, and L were not normally distributed.            tion; however, a pair of in-line hyperbolae in both the May
Therefore, the median values of these variables were first as-     and September 2016 radargrams support the interpretation
signed during the sensitivity analysis when a given variable       that this thinner section ran across both transect segments AB
was held constant. The calibrated Ci values were found to          and CD. This section of thin ice is referred to as a “subsurface
follow a normal distribution, though the power of this test is     feature” and corresponds to the location of the linear “surface
low due to the small sample size. For consistency, the me-         feature” described in Sect. 2. Together these are referred to
dian Ci value was also assigned when this parameter was            as the “paired feature”.
held constant during the sensitivity analysis.                        The magnitude of thinning (3 to 4 m) observed over this
   Of the environmental driving variables included in the          thin section present along transect segment AB (shown in
forced convection basal ablation model, 1T had the greatest        the grey boxes in Fig. 5) was in the low to middle range of
relative range of values over all of the calibration intervals     the thinning observed along the entire transect. However, the
(0.10 to 0.37 ◦ C). A mean increase of 19 % was applied to         general gradient in thinning magnitudes leading to the paired
the 1T value during the sensitivity analysis, and the same         feature shows a similar pattern in both transect segments AB
increase in cumulative basal ablation was predicted over the       and CD (shown in the pink boxes in Fig. 5). Thinning mag-
time period that basal ablation was derived with observa-          nitudes of 3 to 4 m increased to 5 to 6 m across a distance

The Cryosphere, 14, 1067–1081, 2020                                                    www.the-cryosphere.net/14/1067/2020/
A. J. Crawford et al.: Ice island thinning                                                                                               1075

Table 2. Calibrated values for Ci for the individual calibration intervals associated with each measured change in ice thickness. The corre-
sponding mean driving temperature (1T ) and velocity (u) values, found with the CMEMS data, are also provided.

                  Calibration    Date range                                Ci (m2/5 s−1/5 ◦ C−1 )      1T (◦ C)    u (m s−1 )
                  Interval
                  1              15 November 2015–30 January 2016                       7.8 × 10−6         0.32         0.12
                  2              30 January 2016–7 May 2016                             8.3 × 10−6         0.24         0.12
                  3              7 May 2016–9 July 2016                                 2.6 × 10−5         0.12         0.11
                  4              9 July 2016–1 August 2016                              2.1 × 10−5         0.18         0.11
                  5              1 August 2016–22 August 2016                           2.1 × 10−5         0.17         0.11
                  6              22 August 2016–18 September 2016                       1.6 × 10−5         0.23         0.14

Table 3. Descriptive statistics and sensitivity analysis results. The key driving variables in the forced convection basal ablation model were
individually perturbed in eight equal increments based on the variable’s range. The sensitivity of the model was assessed as the mean percent
increase in predicted cumulative basal ablation following each incremental increase in the value assigned to a given variable. The sensitivity
was analyzed over the longer time period (15 November 2015 to 18 September 2016) due to the certainty in the bulk basal ablation.

                                  Range                       Increment               Mean       Mean increase          Mean increase
                                                                                increase in       in cumulative    in cumulative basal
                                                                               variable (%)   basal ablation (m)   ablation output (%)
        1u (m s−1 )               0.11:0.18                         0.01               6.1                 0.22                   4.8
        1T (◦ C)                  0.10:0.37                         0.03              18.6                 0.59                  18.6
        C (m2/5 s−1/5 ◦ C−1 )     7.8 × 10−6 :2.6 × 10−5     2.3 × 10−5               16.5                 0.56                  16.5

of approximately 90 to 150 m, ending at the surface feature                island. The remaining volume was lost to basal and surface
and where a gap in the thickness record exists. A fracture that            ablation, with basal ablation causing 3 times more volume
occurred along this paired feature in September 2017 caused                loss than surface ablation. These ablation magnitudes were
the areal extent of the ice island to reduce by approximately              extrapolated from the on-ice data collection period. Over the
2.7 ± 0.1 km2 .                                                            entire 2 years that PII-A-1-f was monitored via RADARSAT-
                                                                           2 image acquisition, areal reduction processes reduced the
4.4   Volume and area loss and contributions to                            volume of the ice island by approximately 67 %. Combined,
      deterioration                                                        surface and basal ablation resulted in an approximate 7 % re-
                                                                           duction of the ice island volume, with basal ablation again
The area and volume of PII-A-1-f were 13.2 ± 0.01 km2 and                  causing 3 times more loss than surface ablation.
1.4 ± 0.01 km3 , respectively, when it was first visited in Oc-
tober 2015. By September 2016, the volume and areal extent
decreased by 0.4 ± 0.01 km3 and 3.4 ± 0.1 km2 , respectively.              5     Discussion
A fracture event in September 2016 caused approximately
94 % of the areal reduction and 88 % of this volume loss.                  5.1    Basal ablation model calibrations
These values represent the maximum possible reductions
caused by the fracture. Other areal reduction processes (e.g.              Two approaches are predominately used to model ice island
small-scale calving) would also have contributed to areal re-              and iceberg basal ablation (Bouhier et al., 2018). The first is
duction during the time interval between RADARSAT-2 ac-                    the semi-empirical fluid-dynamics approach that is calibrated
quisitions over which the fracture occurred.                               in this study; Eq. (1) approximates melt resulting from the
   The 23-month RADARSAT-2 monitoring period (Octo-                        bulk energy transfer occurring within the complex boundary
ber 2015 to September 2017) captured a longer period of                    conditions that are present at the ice–water interface (Weeks
areal change. During the latter half of this time span (i.e.               and Campbell, 1973; White et al., 1980). This model has
September 2016 and September 2017), the ice island un-                     been widely utilized for iceberg and ice island basal ablation
grounded and re-grounded twice in the same vicinity, and the               modelling in both the Arctic (Ballicater Consulting, 2012;
large September 2017 fracture event occurred (Fig. 1e). The                Bigg et al., 1997; Keghouche et al., 2010; Wagner and Eisen-
ice island volume decreased by 0.6 ± 0.01 km3 over this pe-                man, 2017) and Antarctic (Gladstone et al., 2001; Martin and
riod, with the vast majority of this volume loss (94 %) being              Adcroft, 2010; Merino et al., 2016). The second approach is
caused by processes that decreased the areal extent of the ice             based on thermodynamic principles (Bouhier et al., 2018).

www.the-cryosphere.net/14/1067/2020/                                                                 The Cryosphere, 14, 1067–1081, 2020
1076                                                                                       A. J. Crawford et al.: Ice island thinning

                                                                         al. (2007) provide calibrated values for three stages of drift,
                                                                         each with a unique range of 1u values for an Antarctic ice
                                                                         island, while Eq. (1) in the forced convection model directly
                                                                         incorporates 1u. Equation (2) was developed to account for
                                                                         the plume of relatively cold and fresh iceberg meltwater that
                                                                         has been observed to surround icebergs and inhibit further
                                                                         melt (Foldvik et al., 1980). This meltwater plume will be
                                                                         stripped from the keel as 1u increases, as is the case when
                                                                         an ice island is grounded (Jansen et al., 2007). Therefore,
                                                                         different parameterizations of Eq. (2) are likely required for
                                                                         predicting the basal ablation of drifting versus grounded ice
                                                                         islands, which FitzMaurice et al. (2017) showed to be the
                                                                         case when parameterizing Eq. (1) for the sidewall melt of an
                                                                         iceberg with different scenarios of meltwater plume and rel-
                                                                         ative ocean velocities. It is possible that an adjustment to the
                                                                         melting point of ice (Mp ) to account for the influence of the
                                                                         meltwater plume is not necessary under some conditions, and
                                                                         Mp will simply equal the far-field ocean freezing temperature
                                                                         (2f ). Determining this will require concerted study of the dif-
                                                                         ference in the basal boundary layer conditions of grounded
                                                                         versus drifting ice islands. The 1u for a drifting iceberg or
                                                                         ice island will be influenced by both ocean and wind currents
                                                                         (Kubat et al., 2005; Lichey and Hellmer, 2001). Observations
                                                                         of 1u for the drifting ice island case are rare but would be
                                                                         useful for this work and for correctly assigning values to this
                                                                         variable in Eq. (1).
Figure 5. Spatial variation in morphology and thinning between              This study used a unique dataset of observed ice island
May and September 2016. Upper-case letters are used to denote            thinning as well as in situ and modelled oceanographic con-
transect segments referred to in the text. (a) Thickness observa-        ditions to present a calibration of the forced convection
tions collected with mobile ice-penetrating radar. The grey box cor-     basal ablation model. It is noted that the exponents within
responds with the thin ice section also denoted in (c). (b) Thick-       Eq. (1), which were derived for the flat plate nature of a
ness change. The pink boxes indicate thickness change gradients          tabular iceberg or ice island, could also be calibrated. How-
also identified in (c). Thinning data were categorized based on the
                                                                         ever, these have remained constant in previous iceberg and
amount of overlap between the May and September radar foot-
prints. Grey shading in (a) and (b) denotes uncertainty in thick-
                                                                         ice island literature, while the bulk heat transfer coefficient,
ness measurements and thinning amounts, respectively. The larger,        C, has typically been assigned one of two values that dif-
single points denote the respective thickness and thinning mea-          fer by an order of magnitude. Bigg et al. (1997), Bouhier et
sured with corresponding data collected by the sIPR at the main          al. (2018), Martin and Adcroft (2010), Wagner and Eisenman
site. (c) Thickness change displayed on a Fine Quad RADARSAT-            (2017), and Weeks and Campbell (1973) assign a value of
2 synthetic aperture radar scene acquired on 28 September 2016           6.74 × 10−6 m2/5 s−1/5 ◦ C−1 . However, the confidence inter-
(shown in greyscale). A surface feature is apparent as a line of high-   val of the normal distribution of our calibrated C values does
backscatter (white) pixels starting at the sidewall notch. The geolo-    not overlap with this theoretically derived value of the bulk
cation error of the RADARSAT-2 scene was evaluated, and minimal          heat transfer coefficient. We recommend assigning the C pa-
error in the position of the scene was observed.                         rameter a value of 1.2 × 10−5 m2/5 s−1/5 ◦ C−1 when mod-
                                                                         elling ice island basal ablation in the future. This value was
                                                                         calculated from the calibration conducted over the full time
Holland and Jenkins (1999) and Hellmer and Obers (1989)                  span that basal ablation data were available and not the in-
document a more complex three-equation thermodynamic                     dividual calibration intervals associated with the measured
model for ice shelf basal ablation, which represents both the            changes in ice thickness. In addition, the confidence inter-
salt and temperature flux across the ice–ocean interface.                val of the normal distribution of Ci values found in Table
   The forced convection basal ablation model is advanta-                2 does overlap with this value. The value also matches, re-
geous due to its computational simplicity and the direct in-             markably, that which was theoretically derived by White et
corporation of 1u. In the thermodynamic approach, the val-               al. (1980) and was assigned in the ice island deterioration
ues assigned to the turbulent heat and salt exchange param-              model used by the CIS (Ballicater Consulting, 2012). We be-
eters must be adjusted for varying values of 1u in iceberg               lieve that it is more appropriate to use this value instead of
and ice island applications (Jansen et al., 2007). Jansen et             the mean of the individually calibrated Ci values reported in

The Cryosphere, 14, 1067–1081, 2020                                                          www.the-cryosphere.net/14/1067/2020/
A. J. Crawford et al.: Ice island thinning                                                                                      1077

Table 2 (1.7 × 10−5 m2/5 s−1/5 ◦ C−1 ), as we cannot be sure         magnitudes of thickness change is also recommended. This
of the alignment between changes in oceanographic condi-             would make it possible to relate these higher-quality thin-
tions, basal melt rates, and Ci values due to the low resolu-        ning measurements to corresponding surface ablation and
tion of data collected by the sIPR. It is noted that Crawford        recorded oceanographic conditions.
et al. (2018b) assigned a value of 1.3×10−5 m2/5 s−1/5 ◦ C−1
to C, supplied by Crawford (2018), when quantifying the              5.2   Ablation rates and contributions to overall
distribution of freshwater input from ice island melt through              deterioration
the eastern Canadian Arctic. The use of this previous value
would cause very minimal skew in the distribution of fresh-          Field measurements of ice island thinning are extremely
water input, slightly overestimating the freshwater input at         sparse. Scambos et al. (2008) installed numerous instruments
the higher latitudes in their study region.                          on two Antarctic tabular icebergs while investigating their
   The calibration of the bulk heat transfer coefficient (C) is      deterioration processes with field and remote-sensing data.
specific to the approach used to assign an ice temperature           Unfortunately, it was impossible to process thickness mea-
when deriving the driving temperature, 1T . This paper fol-          surements collected by a radio-echo sounder installed on one
lows the approach of Weeks and Campbell (1973), White et             of the icebergs (Scambos et al., 2008). Prior to our study,
al. (1980), Løset (1993a), Kubat et al. (2005), and Ballicater       the spot values reported by Halliday et al. (2012) from a
Consulting (2012), empirically estimating the ice interface          17 km2 ice island drifting in the Labrador Sea were the only
temperature (Eq. 2) based on work by Josberger (1977). This          known field observations of ice island thinning. The PII-A-
contrasts with a line of successive papers (e.g. Bigg et al.,        1-f thinning dataset greatly improves on this previous work,
1997; Martin and Adcroft, 2010; FitzMaurice et al., 2016;            as the long-term sIPR time series and repeat mIPR transects
Wagner and Eisenman, 2017) that assign a constant ice tem-           together produce a comprehensive dataset that allows us to
perature (Tice ) of −4 ◦ C based on Løset (1993b). This study        assess the spatial and temporal variations in thinning and ab-
reported temperature measurements at ∼ 50 cm depth of sev-           lation. It would be highly beneficial to redeploy the sIPR on
eral iceberg sails in the Barents Sea and show that this tem-        a drifting ice island in the future to (1) augment the number
perature will be reached within a few metres of the ice–ocean        of observations of ice island thinning and (2) begin compar-
interface using a model (Løset 1993b). Yet another paper as-         ing basal ablation occurring to drifting versus grounded ice
signs Tice = −15 ◦ C for sidewall melt calculations (FitzMau-        islands.
rice et al., 2017). These discrepancies underscore the need             The average Mb of 3.4 cm d−1 reported by Halliday et
for harmonization on how Tice is derived or assigned in the          al. (2012) was greater than that observed for PII-A-1-f. Since
context of the forced convection basal ablation model. We            the basal ablation rate for a drifting ice island should be lower
recommend that the melting point of ice be assigned to Tice          than that of a grounded ice island due to decreased 1u and
in future studies that use this model, as it is the actual temper-   the potential protection of a meltwater plume, this greater
ature of the ice–water interface, easy to calculate, and physi-      melt rate was likely due to the higher 2 off the coast of
cally meaningful. Our recommendation is also supported by            Labrador. Elevated ocean temperatures also contributed to
the model comparison and sensitivity study of FitzMaurice            the high, 13.5 m month−1 basal ablation rate that Jansen et
and Stern (2018); this work found that the thermodynamic             al. (2007) estimated for the grounded Antarctic ice island
and forced convection models agree when Tice = Mp and in-            “A38-B”. Basal ablation was reported to cause 96 % of the
fer that the heat flux into the iceberg interior is small. For       thinning of this ice island that had a surface extent of ap-
the sake of inter-comparison, example calculations using L,          proximately 7600 km2 (Jansen et al., 2007), whereas 73 %
SA , 2, and u values representative of conditions at PII-A-1-f,      of the thinning of PII-A-1-f was a result of this process. We
the calibrated value of C would decrease by 1 order of mag-          note that, when present, the densification of firn is a factor in
nitude if Tice = −4 ◦ C. The calibrated C value would then           the surface ablation of Antarctic tabular icebergs. Scambos et
be in line with that derived by Weeks and Campbell (1973).           al. (2008) document firn characteristics on two Antarctic tab-
The value of C would decrease by 2 orders of magnitude if            ular icebergs, and a follow-up field study that combines such
−15 ◦ C were assigned to Tice .                                      observations with repeated thickness measurements would
   The in situ dataset of oceanographic conditions in the            be valuable for assessing the contributions of surface and
vicinity of PII-A-1-f and the GreenEdge sea ice camp was             basal processes to Antarctic iceberg thinning.
of paramount importance for validating and correcting the               While basal ablation was responsible for the majority of
CMEMS data for bias. However, the calibration could be fur-          the thinning of PII-A-1-f, this process caused the ice island
ther improved by obtaining a longer time series of oceano-           volume to reduce by approximately 5 %. However, basal ab-
graphic data in closer proximity to the ice island. In general,      lation indirectly influences further deterioration by reducing
there is a paucity of in situ oceanographic data collected in        the relative thickness of the ice island and decreasing frac-
the vicinity of ice islands. Collection of such data will allow      ture resistance (Goodman et al., 1980; Jansen et al., 2005).
for further improved drift and deterioration analyses of ice-        This will happen more quickly if an ice island is grounded,
bergs and ice islands. Modifying the sIPR to resolve smaller         as basal ablation could increase by a factor of 2 after an

www.the-cryosphere.net/14/1067/2020/                                                       The Cryosphere, 14, 1067–1081, 2020
1078                                                                                   A. J. Crawford et al.: Ice island thinning

ice island stops drifting freely (Jansen et al., 2007). Future     as this will inform future deterioration investigations and im-
research, including finite-element modelling (e.g. Sazidy et       prove ice island drift and deterioration forecasting in both of
al., 2019), is warranted to assess if and how thinning con-        the polar regions (Barker et al., 2004). The calibration of the
tributed to the September 2017 calving event. This fracture        forced convection basal ablation model might also be used
occurred along the paired feature that was substantially thin-     to generally predict when grounded ice islands might thin
ner than adjacent ice surfaces and which emanated from the         enough to drift free, assuming certain shoal bathymetry and
root of the sidewall notch. We also recommend that fur-            ice island morphology. This may be especially useful along
ther research be conducted into the relationship between the       the eastern coast of Canada, where shipping and offshore in-
presence of the paired feature, the propagation of the side-       dustry operates and where ice island grounding is a common
wall notches before and during the time that PII-A-1-f was         occurrence. Overall, the work presented in this study high-
grounded in southern Baffin Bay, and the ultimate September        lights the value of systematic ice island field data collection.
2017 fracture. The enlargement of sidewall notches, similarly      This is necessary for deterioration analyses, connecting mor-
to cusped deterioration patterns observed by Ballicater Con-       phology and deterioration, and developing high-quality mod-
sulting (2012), is a recurring deterioration mechanism that is     els for operational and research purposes.
not considered in deterioration studies or models at this point
in time.
                                                                   Data availability. Amundsen CTD data are available from the Po-
                                                                   lar Data Catalogue (PDC) (https://doi.org/10.5884/12713, Amund-
6   Conclusions                                                    sen Science Data Collection, 2019). Data collected at PII-A-1-
                                                                   f by the authors (i.e. data associated with ablation stakes, the
                                                                   weather station and sonic ranger, and sIPR and mIPR) are also
This study focuses on the thinning of PII-A-1-f, an ice island
                                                                   available from PDC (https://doi.org/10.21963/13091, Mueller et al.,
that originated from a calving event at the Petermann Glacier
                                                                   2019), as are the RADARSAT-2 imagery (GeoTIFFs) and digi-
in 2012 and was grounded in western Baffin Bay over a 2-           tized polygons of the areal extent of PII-A-1-f. This study has
year monitoring time span. A unique field dataset was col-         been conducted using EU Copernicus Marine Service informa-
lected over four visits between October 2015 and September         tion. CMEMS products are available at http://marine.copernicus.eu/
2016 and was used to report ice island thinning and ablation       services-portfolio/access-to-products/ (last access: March 2020).
rates and calibrate the popular forced convection basal abla-      Data associated with the GreenEdge project are available, either
tion model.                                                        through download or correspondence with a project coordinator, at
   The time series of ice island thinning recorded with a cus-     http://www.greenedgeproject.info/data.php (GreenEdge, 2020).
tomized sIPR showed that the ice island thinned by 4.7 m
over the 11 months that on-ice data were collected. Basal
ablation was responsible for 73 % of the observed thinning.        Supplement. The supplement related to this article is available on-
Overall, PII-A-1-f was likely more susceptible to fracture         line at: https://doi.org/10.5194/tc-14-1067-2020-supplement.
than if it had been freely drifting, due to enhanced basal abla-
tion and a correspondingly faster reduction in relative thick-
                                                                   Author contributions. AJC, GC, and DM were responsible for
ness.
                                                                   project design. LM designed and produced the stationary and mo-
   It is important to model ice island basal ablation accu-        bile ice-penetrating radars and assisted in data processing and inter-
rately for predicting the impact of meltwater input on the         pretation. AJC carried out fieldwork and data analyses. DD and MB
ocean system (Crawford et al., 2018b; Jansen et al., 2007).        provided oceanographic data associated with the GreenEdge sea ice
Additionally, basal ablation will alter the relative thickness     camp. DM, GC, LD, LM, and DD contributed to the preparation of
of an ice island, which will influence fracture likelihood         the paper, which was led by AJC.
(Goodman et al., 1980), drift patterns (Barker et al., 2004),
and grounding locations (Sackinger et al., 1991). This is
the first study to calibrate the forced convection basal ab-       Competing interests. The authors declare that they have no conflict
lation model for ice island or iceberg use with field data         of interest.
of ice island thinning, which removed uncertainty regard-
ing estimated ablation rates from remotely sensed datasets.
The calibrated value of the bulk heat transfer coefficient         Acknowledgements. We would like to acknowledge the field as-
(1.2 × 10−5 m2/5 s−1/5 ◦ C−1 ) is in line with the larger of two   sistance of Jaypootie Moesesie, Graham Clark, Jill Rajewicz,
values assigned in previous iceberg and ice island basal ab-       Jonathan Gagnon, Luke Copland, Abigail Dalton, Lauren Candlish,
                                                                   Hugo Jacques, Tom Desmeules, Natalie Theriault, Alison Cook,
lation models, and we recommend that this value, specific to
                                                                   Alexis Burt, Leah Braithwaite, Julie Payette, Claire Bernard-
our approach of deriving a driving temperature, be used in         Grand’Maison, Eric Brossier, and Christian Haas. Adam Garbo
future modelling endeavours. It is important to conduct such       and Iain Burnett helped with field preparation. This unique dataset
field studies to develop and validate methods for modelling        would not be possible to collect without the access provided
ice island thickness change (i.e. surface and basal ablation),

The Cryosphere, 14, 1067–1081, 2020                                                      www.the-cryosphere.net/14/1067/2020/
You can also read